Atoy rocket with a mass of 300 g takes off in a vertical direction under the influence of gravity. it burns fuel at the rate of 25 g/s. the exhaust speed of the gases is 80 m/s. what is the speed of the rocket at the end of 10 seconds?

You have been hired to design a spring-launched roller coaster thatwill carry two passengers per car. the car goes up a 10-m highhill, then descends 15m to the track's lowest point. you'vedetermined that the spring can be compressed a maximum o 2.0m andthat a loaded car will have a maximum mass of 400kg. for safetyreasons, the spring constant should be 10% larger than the minimumneeded for the car to just make it over the top. a) what spring constant (k) should you specify ? b) what is the maximum speed of a 350 kg car if the spring iscompressed the full amount.